Algebraic Function Fields and Codes

• Κύριος συγγραφέας: Stichtenoth, Henning (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Σειρά: Graduate Texts in Mathematics, 254
• Θέματα: Mathematics.; Data structures (Computer science).; Algebra.; Algebraic geometry.; Information theory.; Applied mathematics.; Engineering mathematics.; Algebraic Geometry.; Data Structures, Cryptology and Information Theory.; Information and Communication, Circuits.; Appl.Mathematics/Computational Methods of Engineering.

The theory of algebraic function fields has its origins in number theory, complex analysis (compact Riemann surfaces), and algebraic geometry. Since about 1980, function fields have found surprising applications in other branches of mathematics such as coding theory, cryptography, sphere packings an...

Πίνακας περιεχομένων:

• Foundations of the Theory of Algebraic Function Fields
• Algebraic Geometry Codes
• Extensions of Algebraic Function Fields
• Differentials of Algebraic Function Fields
• Algebraic Function Fields over Finite Constant Fields
• Examples of Algebraic Function Fields
• Asymptotic Bounds for the Number of Rational Places
• More about Algebraic Geometry Codes
• Subfield Subcodes and Trace Codes.